Mittag-Leffler stability analysis of fractional differential equations with and without input using caputo derivative
Author(s): Ubong D Akpan
Abstract: In this paper, the stability analysis of the solutions of fractional differential equations has been investigated. Mittag-Leffler stability analysis of fractional differential equations with and without input is studied for various systems of fractional differential equations. The study employs Lyapunov characterization, Lyapunov direct method and a novel theorem to analyze the Mittag-Leffler stability of fractional differential equations with and without input. Examples have been given to illustrate the utilization of the provisions in analyzing the Mittag-Leffler stability of the solutions of fractional differential equations.
Ubong D Akpan. Mittag-Leffler stability analysis of fractional differential equations with and without input using caputo derivative. Int J Stat Appl Math 2025;10(8):51-56. DOI: 10.22271/maths.2025.v10.i8a.2127
